{ "query": { "display": "simplify $$\\frac{30}{45}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{30}{45}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "\\frac{2}{3}", "decimal": "0.66666…", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{30}{45}=\\frac{2}{3}$$", "input": "\\frac{30}{45}", "steps": [ { "type": "step", "primary": "Factor the number: $$30=15\\cdot\\:2$$", "result": "=\\frac{15\\cdot\\:2}{45}" }, { "type": "step", "primary": "Factor the number: $$45=15\\cdot\\:3$$", "result": "=\\frac{15\\cdot\\:2}{15\\cdot\\:3}" }, { "type": "step", "primary": "Cancel the common factor: $$15$$", "result": "=\\frac{2}{3}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }